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摘要翻译：
模糊自动机一直被认为是非确定性有限自动机的推广。然而，更仔细的研究表明，非确定性有限自动机的基本性质--非确定性--在推广中没有得到很好的体现。本文介绍了具有或不具有$\el$-移动的非确定性模糊自动机及其识别的模糊语言。进一步，我们证明了确定性模糊自动机、不确定性模糊自动机和具有$el$-移动的不确定性模糊自动机在识别同一类模糊语言的意义上都是等价的。
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英文标题：
《Nondeterministic fuzzy automata》
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作者：
Yongzhi Cao and Yoshinori Ezawa
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最新提交年份：
2010
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分类信息：
一级分类：Computer Science 计算机科学
二级分类：Artificial Intelligence 人工智能
分类描述：Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域，除了视觉、机器人、机器学习、多智能体系统以及计算和语言（自然语言处理），这些领域有独立的学科领域。特别地，包括专家系统，定理证明（尽管这可能与计算机科学中的逻辑重叠），知识表示，规划，和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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英文摘要：
Fuzzy automata have long been accepted as a generalization of nondeterministic finite automata. A closer examination, however, shows that the fundamental property---nondeterminism---in nondeterministic finite automata has not been well embodied in the generalization. In this paper, we introduce nondeterministic fuzzy automata with or without $\el$-moves and fuzzy languages recognized by them. Furthermore, we prove that (deterministic) fuzzy automata, nondeterministic fuzzy automata, and nondeterministic fuzzy automata with $\el$-moves are all equivalent in the sense that they recognize the same class of fuzzy languages.
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PDF链接：
https://arxiv.org/pdf/1012.2162
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